Speaker
Description
The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or circuit dynamics and has also been observed in experiments. The entanglement dynamics emerging from long-range correlated states is far less studied, although no less viable using modern quantum simulation experiments. In this poster, I will present the dynamics of the bipartite entanglement entropy and mutual information in quenches starting from Crosscap States, also knows as Entangled Antipodal Pair States, which are volume law states, constructed by entangling antipodal points of a finite and periodic system. Moreover, generalizing them geometrically I will define the entangled multipodal states that have more complex correlations than antipodal, defined on a canonical polygon of N angles. I will focus on the evolution of a crosscap initial state, in a free fermion ic quench and probe the dynamics of bipartite entanglement entropy. In particular, I will show how one can derive an effective description of the entanglement dynamics, that matches the exact results. The quench dynamics is captured by an emergent quasiparticle picture description, which differs from the one that characterizes quenches from lowly entangled states, due to the long-range correlations of the initial state. The main phenomenology for the entanglement entropy, is that after an initial time delay where entanglement remains to the initial volume law value, there is a linear in time decrease, followed by a series of oscillatory revivals which happen around a constant value.This behavior, as well as the characteristic times of the revivals and the constant time averaged value can be explained in terms of the emergent quasiparticle picture that we derive.